User:Ganaram inukshuk/4L 3s - Revision history

ArrowHead294 at 18:21, 3 March 2025

2025-03-03T18:21:36Z

← Older revision		Revision as of 18:21, 3 March 2025
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	* The augmented 2-mosstep of 25edo is very close to 5/4 (386¢).		* The augmented 2-mosstep of 25edo is very close to 5/4 (386¢).
	*The various interval flavors separated by a chroma shows that parasoft smitonic is a useful [[cluster MOS]]. However, many of these intervals lack simple JI interpretations.		*The various interval flavors separated by a chroma shows that parasoft smitonic is a useful [[cluster MOS]]. However, many of these intervals lack simple JI interpretations.

	===Hyposoft tunings===		===Hyposoft tunings===
	Hyposoft smitonic tunings (3:2 to 2:1) are characterized by generators that are a supraminor 3rd, between 327¢ and 333¢. By analogy of parasoft tunings being called "meantone smitonic", these tunings can be considered "[[Gentle region\|neogothic]] smitonic" or "[[archy]] smitonic".		Hyposoft smitonic tunings (3:2 to 2:1) are characterized by generators that are a supraminor 3rd, between 327¢ and 333¢. By analogy of parasoft tunings being called "meantone smitonic", these tunings can be considered "[[Gentle region\|neogothic]] smitonic" or "[[archy]] smitonic".

	Edos include [[11edo]] (not shown), [[18edo]], and [[29edo]].		Edos include [[11edo]] (not shown), [[18edo]], and [[29edo]].

	===Hypohard tunings===		===Hypohard tunings===
	Hypohard smitonic tunings (2:1 to 3:1) have generators between 320¢ and 327¢. The major 1-mosstep, or large step, tends to approximate [[8/7]] (231¢) and the major 3-mosstep tends to approximate [[11/8]] (551¢). [[26edo]] approximates these two intervals very well. These JI approximations are associated with [[orgone]] temperament.		Hypohard smitonic tunings (2:1 to 3:1) have generators between 320¢ and 327¢. The major 1-mosstep, or large step, tends to approximate [[8/7]] (231¢) and the major 3-mosstep tends to approximate [[11/8]] (551¢). [[26edo]] approximates these two intervals very well. These JI approximations are associated with [[orgone]] temperament.
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	Parahard edos smaller than 53edo include [[15edo]] (not shown), [[19edo]], and [[34edo]].		Parahard edos smaller than 53edo include [[15edo]] (not shown), [[19edo]], and [[34edo]].

	== Scales ==		== Scales ==
	''Move to quickstart guide.''		''Move to quickstart guide.''

	==Scale tree==		== Scale tree ==
	{{Scale ~~tree\|~~4L 3s\|~~Comments=~~6/5: [[Amity]]/[[hitchcock]]↑;		{{MOS tuning spectrum
	5/4: [[Sixix]];		\| Scale Signature = 4L 3s
	13/8: Golden 4L 3s (868.~~3282¢~~);		\| 6/5 = [[Amity]]/[[hitchcock]] ↑
	12/5: [[Hyperkleismic]];		\| 5/4 = [[Sixix]]
	5/2 [[Orgone]];		\| 13/8 = Golden 4L 3s (868.3282{{c}})
	13/5: Golden superkleismic;		\| 12/5 = [[Hyperkleismic]]
	8/3: [[Superkleismic]];		\| 5/2 = [[Orgone]]
	11/3: [[Hanson]]/[[keemun]];		\| 13/5 = Golden superkleismic
	6/1: [[Oolong]]/[[myna]]↓}}		\| 8/3 = [[Superkleismic]]
	==Music==		\| 11/3 = [[Hanson]]/[[keemun]]
	*[[City of the Asleep]], [https://cityoftheasleep.bandcamp.com/album/an-amputated-elliptic-knob-of-the-cryptocurve-regenerates "An Amputated Elliptic Knob of the Cryptocurve Regenerates"] (Various orgone edos)		\| 6/1 = [[Oolong]]/[[myna]] ↓
	*[[User:Ks26\|ks26]], [https://www.youtube.com/watch?v=AEnEYk3X1as Ghost Bridge] (11edo)		}}
	*[[User:Ayceman\|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (11edo) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]])
	*[[File:Sixix Fugue.mp3\|256x256px]] A fugue in [[18edo]] smitonic functional harmony (WIP)		== Music ==
			* [[City of the Asleep]], [https://cityoftheasleep.bandcamp.com/album/an-amputated-elliptic-knob-of-the-cryptocurve-regenerates "An Amputated Elliptic Knob of the Cryptocurve Regenerates"] (Various orgone edos)
			* [[User:Ks26\|ks26]], [https://www.youtube.com/watch?v=AEnEYk3X1as Ghost Bridge] (11edo)
			* [[User:Ayceman\|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (11edo) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]])
			* [[File:Sixix Fugue.mp3\|256x256px]] A fugue in [[18edo]] smitonic functional harmony (WIP)

	==References==		== References ==
	<references />		<references />

Ganaram inukshuk: Partial cleanup of sandboxed page

2024-09-07T21:16:08Z

Partial cleanup of sandboxed page

@@ Line 120: / Line 120: @@
 == Tuning ranges ==
 ===Simple tunings===
-The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Other small edos include [[15edo]] and [[18edo]].{{MOS degrees|Step Ratio=2/1; 3/1; 3/2|JI Ratios=M1md: [[8/7]];
+The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Other small edos include [[15edo]] and [[18edo]].
 ===Parasoft tunings===
 Parasoft smitonic tunings (4:3 to 3:2) can be considered "meantone smitonic" since it has the following features of [[meantone]] diatonic tunings:
@@ Line 145: / Line 137: @@
 * The augmented 2-mosstep of 25edo is very close to 5/4 (386¢).
 *The various interval flavors separated by a chroma shows that parasoft smitonic is a useful [[cluster MOS]]. However, many of these intervals lack simple JI interpretations.
 ===Hyposoft tunings===
 Hyposoft smitonic tunings (3:2 to 2:1) are characterized by generators that are a supraminor 3rd, between 327¢ and 333¢. By analogy of parasoft tunings being called "meantone smitonic", these tunings can be considered "[[Gentle region|neogothic]] smitonic" or "[[archy]] smitonic".
 Edos include [[11edo]] (not shown), [[18edo]], and [[29edo]].
 ===Hypohard tunings===
 Hypohard smitonic tunings (2:1 to 3:1) have generators between 320¢ and 327¢. The major 1-mosstep, or large step, tends to approximate [[8/7]] (231¢) and the major 3-mosstep tends to approximate [[11/8]] (551¢). [[26edo]] approximates these two intervals very well. These JI approximations are associated with [[orgone]] temperament.
 Other hypohard edos include [[11edo]] (not shown), [[15edo]] and [[37edo]].
 ===Parahard tunings===
 Parahard smitonic tunings (3:1 to 4:1) have generators between 315.9¢ and 320¢, putting it close to a pure 6/5 (316¢). Stacking six generators and octave-reducing approximates 3/2 (702¢), a diatonic perfect 5th, represented by the diminished 5-mosstep.
@@ Line 198: / Line 153: @@
 Parahard edos smaller than 53edo include [[15edo]] (not shown), [[19edo]], and [[34edo]].
 == Scales ==
 ''Move to quickstart guide.''

Ganaram inukshuk: /* Scale characteristics */

2024-05-28T08:59:22Z

Scale characteristics

← Older revision		Revision as of 08:59, 28 May 2024
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	== Scale characteristics ==		== Scale characteristics ==
	''This article assumes TAMNAMS conventions for ~~naming~~ step ratios, intervals, scale degrees, modes, ~~and~~ step patterns.''		''This article assumes TAMNAMS naming conventions for the following: step ratios, intervals, scale degrees, modes, step patterns. For more information, see the respective links.''

	===Name ===		===Name ===

Ganaram inukshuk: /* Scale characteristics */

2024-05-28T08:56:31Z

Scale characteristics

← Older revision		Revision as of 08:56, 28 May 2024
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	== Scale characteristics ==		== Scale characteristics ==
	''This article assumes TAMNAMS conventions for ~~interval~~, ~~degree~~, and ~~scale naming~~.''		''This article assumes TAMNAMS conventions for naming step ratios, intervals, scale degrees, modes, and step patterns.''

	===Name ===		===Name ===
	[[TAMNAMS]] suggests the temperament-agnostic name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (just minor 3rd, 315.6¢).		[[TAMNAMS]] suggests the temperament-agnostic name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (just minor 3rd, 315.6¢).
	===Intervals sizes===		===Intervals sizes===
	Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (0-mosstep and 0-mosdegree) for the unison, per TAMNAMS. Ordinal names, such as mos-1st for the unison, are discouraged for non-diatonic MOS scales.

	Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, except for the unison and octave, has two [[Interval variety\|varieties]] – large and small – whose [[Interval quality\|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.
	{\| class="wikitable"		{\| class="wikitable"
	\|+Intervals of 4L 3s		\|+Intervals of 4L 3s
	~~''(using large/small terminology instead of major/minor and aug/perfect/dim)''~~
	! colspan="2" \|Intervals		! colspan="2" \|Intervals
	! colspan="2" \|Size		! colspan="2" \|Size
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	\|P7ms		\|P7ms
	\|}		\|}
	~~{{MOS intervals\|Scale Signature=4L 3s}}~~

	=== Modes and scale degrees ===		=== Modes and scale degrees ===
	Alexandru Ianu ([[User:Ayceman\|Ayceman]])<ref>Description of ''Sylvian Moon Dance'' mentioning the naming proposal https://musescore.com/user/36772625/scores/6700443 – The theme relates to the mystical nature of the Tribunal and TES lore, which fits smitonic.</ref> has proposed the following mode names relating to the Almsivi in Morrowind (TES):		Alexandru Ianu ([[User:Ayceman\|Ayceman]])<ref>Description of ''Sylvian Moon Dance'' mentioning the naming proposal https://musescore.com/user/36772625/scores/6700443 – The theme relates to the mystical nature of the Tribunal and TES lore, which fits smitonic.</ref> has proposed the following mode names relating to the Almsivi in Morrowind (TES):

Ganaram inukshuk: /* Intervals sizes */

2024-05-27T05:48:59Z

Intervals sizes

← Older revision		Revision as of 05:48, 27 May 2024
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	\|-		\|-
	\|'''7-smistep (octave)'''		\|'''7-smistep (octave)'''
	\|Perfect 7-smistep~~'''0-smistep (root)'''~~		\|Perfect 7-smistep
	\|4L + 3s		\|4L + 3s
	\|1200.0¢		\|1200.0¢

Ganaram inukshuk: /* Intervals sizes */ Formatting

2024-05-27T05:47:58Z

Intervals sizes: Formatting

← Older revision		Revision as of 05:47, 27 May 2024
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	Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, except for the unison and octave, has two [[Interval variety\|varieties]] – large and small – whose [[Interval quality\|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.		Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, except for the unison and octave, has two [[Interval variety\|varieties]] – large and small – whose [[Interval quality\|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.
			{\| class="wikitable"
			\|+Intervals of 4L 3s
			''(using large/small terminology instead of major/minor and aug/perfect/dim)''
			! colspan="2" \|Intervals
			! colspan="2" \|Size
			! rowspan="2" \|Abbrev.
			\|-
			!Generic
			!Specific
			!Steps
			!Range in cents
			\|-
			\|'''0-smistep (root)'''
			\|Perfect 0-smistep
			\|0
			\|0.0¢
			\|P0ms
			\|-
			\| rowspan="2" \|1-smistep
			\|Small 1-smistep
			\|s
			\|0.0¢ to 171.4¢
			\|s1ms
			\|-
			\|Large 1-smistep
			\|L
			\|171.4¢ to 300.0¢
			\|L1ms
			\|-
			\| rowspan="2" \|'''2-smistep'''
			\|'''Small 2-smistep'''
			\|L + s
			\|300.0¢ to 342.9¢
			\|s2ms
			\|-
			\|Large 2-smistep
			\|2L
			\|342.9¢ to 600.0¢
			\|L2ms
			\|-
			\| rowspan="2" \|3-smistep
			\|Small 3-smistep
			\|L + 2s
			\|300.0¢ to 514.3¢
			\|s3ms
			\|-
			\|Large 3-smistep
			\|2L + s
			\|514.3¢ to 600.0¢
			\|L3ms
			\|-
			\| rowspan="2" \|4-smistep
			\|Small 4-smistep
			\|2L + 2s
			\|600.0¢ to 685.7¢
			\|s4ms
			\|-
			\|Large 4-smistep
			\|3L + s
			\|685.7¢ to 900.0¢
			\|L4ms
			\|-
			\| rowspan="2" \|'''5-smistep'''
			\|Small 5-smistep
			\|2L + 3s
			\|600.0¢ to 857.1¢
			\|s5ms
			\|-
			\|'''Large 5-smistep'''
			\|3L + 2s
			\|857.1¢ to 900.0¢
			\|L5ms
			\|-
			\| rowspan="2" \|6-smistep
			\|Small 6-smistep
			\|3L + 3s
			\|900.0¢ to 1028.6¢
			\|s6ms
			\|-
			\|Large 6-smistep
			\|4L + 2s
			\|1028.6¢ to 1200.0¢
			\|L6ms
			\|-
			\|'''7-smistep (octave)'''
			\|Perfect 7-smistep'''0-smistep (root)'''
			\|4L + 3s
			\|1200.0¢
			\|P7ms
			\|}
	{{MOS intervals\|Scale Signature=4L 3s}}		{{MOS intervals\|Scale Signature=4L 3s}}

Ganaram inukshuk at 01:59, 23 May 2024

2024-05-23T01:59:51Z

← Older revision		Revision as of 01:59, 23 May 2024
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	{{User:Ganaram inukshuk/Template:Rewrite draft		{{User:Ganaram inukshuk/Template:Rewrite draft
	\|4L 3s\|compare=https://en.xen.wiki/w/Special:ComparePages?page1=4L+3s&rev1=&page2=User%3AGanaram+inukshuk%2F4L+3s&rev2=&action=&diffonly=&unhide=		\|4L 3s\|compare=https://en.xen.wiki/w/Special:ComparePages?page1=4L+3s&rev1=&page2=User%3AGanaram+inukshuk%2F4L+3s&rev2=&action=&diffonly=&unhide=
	\|changes=see what the page looks like with proposed changes (scale characteristics section) ~~and~~ quickstart guide}}		\|changes=see what the page looks like with proposed changes (scale characteristics section, new intro wording); see what it looks like with a quickstart guide}}
	{{Has quickstart\|Quickstart guide for 4L 3s}}		{{Has quickstart\|Quickstart guide for 4L 3s}}
	{{Infobox MOS\|debug=1\|Tuning=4L 3s}}		{{Infobox MOS\|debug=1\|Tuning=4L 3s}}
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	4L 3s can be seen as a [[Warped diatonic\|warped diatonic scale]], where one large step of diatonic ([[5L 2s]]) is replaced with a small step.		4L 3s can be seen as a [[Warped diatonic\|warped diatonic scale]], where one large step of diatonic ([[5L 2s]]) is replaced with a small step.
	==Name ==
			== Scale characteristics ==
			''This article assumes TAMNAMS conventions for interval, degree, and scale naming.''

			===Name ===
	[[TAMNAMS]] suggests the temperament-agnostic name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (just minor 3rd, 315.6¢).		[[TAMNAMS]] suggests the temperament-agnostic name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this scale. The name is derived from 'sharp minor third', since the central range for the dark generator (320¢ to 333.3¢) is significantly sharp of [[6/5]] (just minor 3rd, 315.6¢).
	~~== Notation==~~		===Intervals sizes===
	~~:''This article assumes [[TAMNAMS]] for naming step ratios, intervals, and scale degrees, and [[Diamond-mos notation\|diamond-MOS notation]] for note names.''~~
	===Intervals ~~and degrees~~===
	Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (0-mosstep and 0-mosdegree) for the unison, per TAMNAMS. Ordinal names, such as mos-1st for the unison, are discouraged for non-diatonic MOS scales.		Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (0-mosstep and 0-mosdegree) for the unison, per TAMNAMS. Ordinal names, such as mos-1st for the unison, are discouraged for non-diatonic MOS scales.

	Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, except for the unison and octave, has two [[Interval variety\|varieties]] – large and small – whose [[Interval quality\|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.		Being a moment-of-symmetry scale, every [[interval class]] of 4L 3s, except for the unison and octave, has two [[Interval variety\|varieties]] – large and small – whose [[Interval quality\|relative qualities]] are denoted as major or minor, or augmented, perfect, and diminished for the generators.
	{{MOS intervals\|Scale Signature=4L 3s}}		{{MOS intervals\|Scale Signature=4L 3s}}
	~~===Note names===~~
	For this article, note names are based on diamond-MOS notation, where the naturals JKLMNOP are applied to the step pattern LsLsLsL and the accidentals & (pronounced "am" or "amp") and @ (pronounced "at") are used to represent sharps and flats respectively. Thus, the basic gamut for 4L 3s is the following:

	{{MOS ~~gamut~~\|Scale Signature=4L 3s}}		=== Modes and scale degrees ===
			Alexandru Ianu ([[User:Ayceman\|Ayceman]])<ref>Description of ''Sylvian Moon Dance'' mentioning the naming proposal https://musescore.com/user/36772625/scores/6700443 – The theme relates to the mystical nature of the Tribunal and TES lore, which fits smitonic.</ref> has proposed the following mode names relating to the Almsivi in Morrowind (TES):
			{{MOS mode degrees\|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic\|Scale Signature=4L 3s}}
	==Theory==		==Theory==
	===Low harmonic entropy scales===		===Low harmonic entropy scales===
Line 125:		Line 127:
	M6md: [[25/13]]		M6md: [[25/13]]
	\|Scale Signature=4L 3s}}		\|Scale Signature=4L 3s}}
	~~==Modes==~~
	Alexandru Ianu ([[User:Ayceman\|Ayceman]])<ref>Description of ''Sylvian Moon Dance'' mentioning the naming proposal https://musescore.com/user/36772625/scores/6700443 – The theme relates to the mystical nature of the Tribunal and TES lore, which fits smitonic.</ref> has proposed the following mode names relating to the Almsivi in Morrowind (TES):

	~~{{MOS modes\|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic\|Scale Signature=4L 3s}}~~

	~~===Scale degrees===~~
	~~{{MOS mode degrees\|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic\|Scale Signature=4L 3s}}~~

	==Scales==		== Scales ==
	~~=== Subset and superset scales===~~		''Move to quickstart guide.''
	~~4L 3s has a parent scale of [[3L 1s]], a tetratonic scale, meaning 1L 3s is a subset~~. ~~4L 3s also has two child scales, which are supersets of 4L 3s:~~
	*[[7L 4s]], a smitonic chromatic scale produced using soft-of-basic step ratios.
	*[[4L 7s]], a smitonic chromatic scale produced using hard-of-basic step ratios.
	~~11edo, the equalized form of both 7L 4s and 4L 7s, is also a superset of 4L 3s.~~
	~~===Scala files===~~
	*[[Orgone7]]
	*[[Cata7]]
	*[[Myna7]]

	==Scale tree==		==Scale tree==

Ganaram inukshuk: new intro wording?

2024-05-23T01:55:01Z

new intro wording?

← Older revision		Revision as of 01:55, 23 May 2024
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	{{Has quickstart\|Quickstart guide for 4L 3s}}		{{Has quickstart\|Quickstart guide for 4L 3s}}
	{{Infobox MOS\|debug=1\|Tuning=4L 3s}}		{{Infobox MOS\|debug=1\|Tuning=4L 3s}}
	~~{{MOS intro\|Scale Signature=~~4L 3s}}		'''4L 3s''', named '''smitonic''', is a moment-of-symmetry scale characterized by having 4 large steps and 3 small steps distributed as evenly as possible within the octave. Generators that produce this scale range from (bright-gen-range), or from (dark-gen-range).

	4L 3s can be seen as a [[Warped diatonic\|warped diatonic scale]], where one large step of diatonic ([[5L 2s]]) is replaced with a small step.		4L 3s can be seen as a [[Warped diatonic\|warped diatonic scale]], where one large step of diatonic ([[5L 2s]]) is replaced with a small step.
	==Name ==		==Name ==

Ganaram inukshuk at 01:51, 23 May 2024

2024-05-23T01:51:00Z

← Older revision		Revision as of 01:51, 23 May 2024
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	\|4L 3s\|compare=https://en.xen.wiki/w/Special:ComparePages?page1=4L+3s&rev1=&page2=User%3AGanaram+inukshuk%2F4L+3s&rev2=&action=&diffonly=&unhide=		\|4L 3s\|compare=https://en.xen.wiki/w/Special:ComparePages?page1=4L+3s&rev1=&page2=User%3AGanaram+inukshuk%2F4L+3s&rev2=&action=&diffonly=&unhide=
	\|changes=see what the page looks like with proposed changes (scale characteristics section) and quickstart guide}}		\|changes=see what the page looks like with proposed changes (scale characteristics section) and quickstart guide}}
	{{Has quickstart}}		{{Has quickstart\|Quickstart guide for 4L 3s}}
	{{Infobox MOS\|debug=1\|Tuning=4L 3s}}		{{Infobox MOS\|debug=1\|Tuning=4L 3s}}
	{{MOS intro\|Scale Signature=4L 3s}}		{{MOS intro\|Scale Signature=4L 3s}}

Ganaram inukshuk: Test page

2024-05-23T01:50:15Z

Test page

Show changes